This is complicated to calculate as the values are not linear, but for example if you have an 32 Ohm Headphone, you would have to change the impedance to 40 Ohm to be able to hear an difference of 1db.
If you have an 64 Ohm Headphone, you would have to increase the restistance to 80 Ohm for an difference of 1db.
When you have an cable that is 1.5 meters long, the difference between copper and silver is, worst case, 0.01 Ohm. The actual value is much lower because this calculation uses very thick cables, it is roughly 0.0004 Ohm in reality, but just take 0.01 Ohm as granted as the worst case. We want to push things, right? Maybe you want to use an speaker cable for your heapdhones
This value is so small, that you would say, you are able to hear an difference of below 0.1db
If you have absolutely perfect hearing and you're a trained professional, you might be able to pickup a difference of 0.5db but that difference would be microscopic small. That is something you could only hear if you are listening in an perfect environment with an High End Monitor and you are going back and forth several times on an song you know inside out. And thats 0.5db.
We are talking about <0.1db and people saying they instantly were able to hear the difference. So you ears are that insanely good, that a difference of below 0.1db was an obvious and instantly noticable difference?
You would be in every media possible. CNN, NBC and FOX NEWS would have wrestling fights over who is allowed to interview you first.
But of course, the plugs and so on have to be the same quality. A lot of cable makers use plugs with an high ohm count (50 Ohms and more) or even implement resistors (which does the exact opposite of what you want from an silver cable, lower the resistence) to influence the frequency response.
Because they know exactly that audiophiles think that silver sounds clearer, so they increase the resistance (again, that is the opposite of what you want from an silver cable) to make it sound clearer. That is of course unrelated to the cable material.
In that case, the difference comes from the plug and if you would put the exact same plug on an copper cable, you would have the same sound again.
So the cables are allowed to be different (copper, silver, gold or an mix of whatever you want), but the plugs have to be the same, that is essential to know. Again, the differences between plugs can be more than 50 Ohm, so cables can sound different, but not because of the cable material, but because of the plug (which is an insanely cheap piece).
So it could happen that you buy an 4000€ cables and it actually sounds different, but because the 1€ plug that is connecting to the DAP is causing the difference. So basically you don't know how the silver cable sounds because the plug is completely masking the sound.
Audiophile companies, especially the ones targeting the customers with bigger budgets, are kown to cheat and rip people off, that is something common.
So most likely the expensive, audiophile cable has a bad plug and that is what you're hearing.